Uniformization of certain Shimura curves

@article{PilarBayer2002,
abstract = {We present an approach to the uniformization of certain Shimura curves by means of automorphic functions, obtained by integration of non-linear differential equations. The method takes as its starting point a differential construction of the modular j-function, first worked out by R. Dedekind in 1877, and makes use of a differential operator of the third order, introduced by H. A. Schwarz in 1873.},
author = {Pilar Bayer},
journal = {Banach Center Publications},
keywords = {Shimura curves; Fuchsian differential equations; Schwarzian derivatives},
language = {eng},
number = {1},
pages = {13-26},
title = {Uniformization of certain Shimura curves},
url = {http://eudml.org/doc/281755},
volume = {58},
year = {2002},
}

TY - JOUR
AU - Pilar Bayer
TI - Uniformization of certain Shimura curves
JO - Banach Center Publications
PY - 2002
VL - 58
IS - 1
SP - 13
EP - 26
AB - We present an approach to the uniformization of certain Shimura curves by means of automorphic functions, obtained by integration of non-linear differential equations. The method takes as its starting point a differential construction of the modular j-function, first worked out by R. Dedekind in 1877, and makes use of a differential operator of the third order, introduced by H. A. Schwarz in 1873.
LA - eng
KW - Shimura curves; Fuchsian differential equations; Schwarzian derivatives
UR - http://eudml.org/doc/281755
ER -